True o False (a) There is a relative maximum or relative minimum at each critical number.(b) If f'(x) > 0 for all r, then the minimum value off(r) on any closed interval [a, b] is f(a).(c) If lim,e f(x) = L then f(c) = L.(d) S f(x)dx is a family of functions.(e) If a function is continuous at a point, then it is differentiable at that point.(f) The maximum of a continuous function defined on a closed interval can occur atan endpoint of the interval.(g) If y = f(r)g(x), then = f'(x)g'(x).(h) If y = 7², then = 27.(i) If the graph of ƒ is concave up on an interval (a, b), then f is increasing on (a, b).(i) If f is a decreasing function, then the right sum equals the lower sum.

To define which statement is true or false

(a) There is a relative maximum or relative minimum at each critical number. (b) If f'(x) > 0 for all r, then the minimum value of f(x) on any closed interval [a, b] is f(a). (c) If lim,e f(x) = L then f(c) = L.

(a) There is a relative maximum or relative minimum at each critical number. (b) If f'(x) > 0 for all r, then the minimum value of f(x) on any closed interval [a, b] is f(a). (c) If lim,e f(x) = L then f(c) = L.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

True o False

(a) There is a relative maximum or relative minimum at each critical number.
(b) If f'(x) > 0 for all r, then the minimum value of
f(r) on any closed interval [a, b] is f(a).
(c) If lim,e f(x) = L then f(c) = L.
(d) S f(x)dx is a family of functions.
(e) If a function is continuous at a point, then it is differentiable at that point.
(f) The maximum of a continuous function defined on a closed interval can occur at
an endpoint of the interval.
(g) If y = f(r)g(x), then = f'(x)g'(x).
(h) If y = 7², then = 27.
(i) If the graph of ƒ is concave up on an interval (a, b), then f is increasing on (a, b).
(i) If f is a decreasing function, then the right sum equals the lower sum.

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